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Finding the Fourth Proportional to 4,013.37, 6,016.41 and 1,820.90

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Solution

The fourth proportional to 4,013.37, 6,016.41 and 1,820.90 is: 2,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.37 : 6,016.41 = 1,820.90 : x
  2. Step 2: Convert to fraction form
    4,013.37/6,016.41 = 1,820.90/x
  3. Step 3: Cross multiply
    4,013.37x = 6,016.41 × 1,820.90
  4. Step 4: Simplify right side
    4,013.37x = 10,955,296.01
  5. Step 5: Solve for x
    x = 10,955,296.01/4,013.37
  6. Step 6: Final answer
    x = 2,729.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.